Isabel S. Labouriau (University of Porto)
Tuesday, April 25th, 10:20, Room 4-111
Title: Global Saddles for Planar Maps
Abstract. We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under
which the fixed point is a global saddle. We also address the special case of D2-
symmetric maps, for which we obtain a similar result for C1 homeomorphisms.
Some applications to differential equations are also given.
This is joint work with B. Alarcón (UFF) and S.B.S.D. Castro (CMUP).